# How do you simplify (4x^3 + 13x – 7) – (6x^2 + 9x + 2)?

May 16, 2016

$\text{ } 4 {x}^{3} - 6 {x}^{2} + 4 x - 9$

#### Explanation:

The minus sign to the left of the last bracket is saying; remove all of what is in that bracket.

Another way of dealing with this is ; multiply everything inside the right bracket by $\left(- 1\right)$

The outcome for both these is the same.

so we have

$\text{ "4x^3+13x-7" } - 6 {x}^{2} - 9 x - 2$

$\text{ } 4 {x}^{3} - 6 {x}^{2} + \left(13 x - 9 x\right) + \left(- 7 - 2\right)$

$\text{ } 4 {x}^{3} - 6 {x}^{2} + 4 x - 9$